Details

sample30.0ms

Algorithm

intervals

Results

17.0ms	326×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `fma-udef`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
10.0ms	(* (+ d3 5.0) d1)
0.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
5.0ms	(* (+ d3 5.0) d1)
13.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma d1 d3 (* d1 d2))
0.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(fma d1 d3 (* d1 d2))
11.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify30.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (+ (* d1 d2) (* (+ d3 5.0) d1)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

10.0ms	(* (+ d3 5.0) d1)
3.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0ms	(fma 32.0 d1 (+ (* d1 d2) (* (+ d3 5.0) d1)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (+ d3 5.0) d1)
8.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
12.0ms	(fma 32.0 d1 (+ (* d1 d2) (* (+ d3 5.0) d1)))

simplify101.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	223	269
1	850	240
2	4695	237
3	5001	237

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d3 5.0))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
0.2b	(* (sqrt (+ d3 5.0)) d1)
0.3b	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`

Counts

4 → 88

Calls

4 calls:

4.0ms	(sqrt (+ d3 5.0))
0.0ms	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
12.0ms	(* (sqrt (+ d3 5.0)) d1)
27.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

series31.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ d3 5.0))
13.0ms	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
10.0ms	(* (sqrt (+ d3 5.0)) d1)
5.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	362	626
1	1226	531
2	5001	523

prune670.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample760.0ms

Algorithm

intervals

Results

541.0ms	10162×	body	80	valid
4.0ms	20×	body	640	valid
4.0ms	5×	body	1280	valid
2.0ms	12×	body	320	valid
0.0ms	3×	body	160	valid